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On the Robustness and Provenance of the Gambler's Fallacy
Yang Xiang1, Kevin Dorst2, Samuel J Gershman1,3,4
1Department of Psychology, Harvard University.
Psychological Science
|June 5, 2025
Summary
The gambler's fallacy, a belief in streaks influencing random events, was tested using probabilistic predictions. This study found that probabilistic predictions, unlike point predictions, did not exhibit the gambler's fallacy.
Area of Science:
- Cognitive Psychology
- Behavioral Economics
- Decision Science
Background:
- The gambler's fallacy is the misconception that past independent events influence future random outcomes.
- Previous research often used non-independent sequences or point predictions, limiting understanding of probabilistic reasoning.
- Existing theories suggest the fallacy stems from flawed probabilistic reasoning.
Purpose of the Study:
- To investigate the gambler's fallacy using truly independent sequences and probabilistic predictions.
- To differentiate between the influence of probabilistic reasoning versus decision-making stages on the fallacy.
Main Methods:
- Conducted high-powered, preregistered studies with 750 adult participants from Amazon Mechanical Turk.
- Participants provided probabilistic predictions for independent random event sequences.
- Compared results from probabilistic predictions against point predictions.
Main Results:
- Probabilistic predictions did not elicit the gambler's fallacy.
- Point predictions demonstrated a significant gambler's fallacy.
- Point predictions could not be accurately reconstructed from probability judgments.
Conclusions:
- The gambler's fallacy appears to originate in the decision-making stage, not probabilistic reasoning.
- Findings challenge existing theories attributing the fallacy solely to flawed probabilistic judgment.
- New theoretical frameworks are needed to explain the decision-stage origin of the gambler's fallacy.
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